MATH 376.01
DIFFERENTIAL EQUATIONS
TU/TH 9:30-10:50
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HOMEWORK
ASSIGNMENTS/QUIZZES/EXAMS |
DATE
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Chapter 1.2 and 1.3 |
Thursday, Sept. 2 |
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Chapter 2.1, 2.2, 2.3 |
Tuesday, Sept. 14 |
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Chapter 2.4, 2.5, 2.6 |
Tuesday, Sept. 21 |
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Chapter 2.8, 2.9, 2.10, 7.2, 7.3 |
Tuesday, Sept. 28 |
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Exam 1: Chapter 1,2,7 |
Tuesday, Sept. 28 |
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Chapter 3.1 and 3.2 |
Tuesday, October 12 |
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Chapter 3.3, 3.4, 3.5, 3.6 |
Thursday, October 21 |
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Chapter 3.7, 3.8, 3.9, 3.10 (odd problems only) |
Thursday, October 28 |
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Exam 2: Chapter 3.1-3.10 only |
Thursday, October 28 |
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Chapter 4.1, 4.2, 4.3 |
Thursday, November 18 |
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Chapter 4.4, 4.5, 4.6 |
Thursday, November 18 |
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Project |
Thursday, December 9 |
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Chapter
5.1: 7,9,11,25 Chapter 5.2: 1,3,7,13,15,19,45 Chapter 5.3: 9,11,13,15,19,21,23,27 |
Tuesday, December 7 |
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FINAL
EXAM- Comprehensive (including
chapters 1,2,3,4,5) |
Tuesday, December 14, 8:00-10:00 |
LAPLACE TRANSFORM
PROPERTIES (TO BE PROVIDED ON FINAL EXAM)
EXAM 1 FALL 2009 (omit problem 8)
EXAM 1 FALL 2008 (omit problem 3 and
5(b))
Here
is the link to pplane (an ode solver program which
you will need to use for the project).
http://math.rice.edu/~dfield/dfpp.html
Homework List (From the book: Elementary Differential Equations, 2nd edition, Kohler and Johnson)
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SECTION |
PROBLEMS |
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1.2 Examples of Differential Equations |
1,2,6,7,9,12,16,17,20 |
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1.3 Direction Fields |
1,4,5,8,9,10,11,14,16,18 |
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2.1 First Order ODEs: Introduction |
3,6,9,12,13,15,16 |
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2.2 First Order Linear Differential Equations |
1,4,7,10,13,16,19,22,29, |
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2.3 Introduction to Mathematical Models |
1,3,4,5,6,7,12,17 (see example 2) |
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2.4 Population Dynamics and Radioactive Decay |
1,3,5,6,10 |
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2.5 First Order Nonlinear Differential Equations |
3,6,9,12,17 |
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2.6 Separable First Order Equations |
3,6,7,9,12,15,18,22 |
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2.8 The Logistic Population Model |
1,2,5,6,17 |
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2.9 Applications to Mechanics |
1,4,5,17,18 |
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2.10 Euler’s Method |
1,3,5 |
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7.2 Euler’s Method, Huen’s
Method, Modified Euler’s Method |
1,3 (for each problem do parts (a), (b), (d), and (f) only |
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7.3 Taylor Series Methods |
1,3 |
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3.1 Introduction (Higer Order
ODEs) |
1,4,5,9,10 |
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3.2 The General Solution of Homogeneous Equations |
3,6,9,12,15 |
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3.3 Constant Coefficient Homogeneous Equations |
3,6,9,12,15 |
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3.4 Real Repeated Roots: Reduction of Order |
1,3,5,7,9 |
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3.5 Complex Roots |
3,5,7,9,11,23,25 |
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3.6 Unforced Mechanical Vibrations |
2,3,4,9,10 |
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3.7 The General Solution of a Linear Nonhomogeneous
Equation |
3,6,9,12,21,24 |
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3.8 The Method of Undetermined Coefficients |
4,5,6,8,9,10,11,12,13,17,18 |
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3.9 The Method of Variation of Parameters |
1,2,3,4,9 |
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3.10 Forced Mechanical Vibrations, Electrical Networks,
and Resonance |
2,3,7,8 |
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4.1 Introduction to First Order Linear Systems |
1,2,3,4,5 |
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4.2 Existence and Uniqueness |
3,6,7,9,11,12 |
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4.3 Homogeneous Linear Systems |
3,6,10,15,17,20 |
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4.4 Constant Coefficient Homogeneous Systems; the Eigenvalue Problem |
1,4,5,11,18,19,20 |
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4.5 Real Eigenvalues and the
Phase Plane |
1,3,5,17 |
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4.6 Complex Eigenvalues |
17,19,21,32 |
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5.1 Introduction to Laplace Transform |
2,7,9,11,24,25 |
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5.2 Laplace Transform Pairs |
1,2,3,7,10,13,14,15,16,19 |
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5.3 The Method of Partial Fractions |
9,10,11,12,13,14,15 |
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SOLVE AN IVP USING LAPLACE TRANSFORM |
5.2: 44,45 5.3: 18,19,20,21,23,24,27 |
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THE HEAVISIDE STEP FUNCTION AND THE LAPLACE TRANSFORM |
5.2: 4,5,9,11,17,18,20,21,22,23,42,43 |